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### Topics - Aida Razi

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##### Misc Math / Last year FinalExam
« on: December 13, 2012, 01:56:49 PM »
http://weyl.math.toronto.edu:8888/APM346-2011F-forum/index.php?topic=208.0

In last year final exam, problem 1, when you solved it by method of continuation, I was wondering if the first term will be:

u(x,t)=1/2(-Ï•(xâˆ’ct)+Ï•(x+ct))+ 1/2câˆ«ct+x0Ïˆ(s)ds +1/2câˆ«ctâˆ’x0Ïˆ(s)ds

"In our case correct formula is different

u(x,t)=1/2(Ï•(xâˆ’ct)âˆ’Ï•(x+ct))+ 1/2câˆ«ct+x0Ïˆ(s)ds +1/2câˆ«ctâˆ’x0Ïˆ(s)ds"

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##### Misc Math / Lecture 19
« on: November 13, 2012, 03:12:17 PM »
In heat equation: We know IFT of e^ (-(Î¾^2)/2) is (âˆš2pi)e (-(x^2)/2). Then when we try to find IFT of e^ (-(ktÎ¾^2)), we scale Î¾ to âˆš(2kt)Î¾ and therefore x scale to âˆš(2kt)x. But in the lecture note, it is mentioned that x scale to (2kt)^(-1/2)x. I believe it should be just square root of 2kt and not (-square root) of 2kt.

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##### Misc Math / Last Year HW:5.4.12
« on: November 11, 2012, 10:33:08 PM »
I am just wondering in this question when P.T. wrote Parseval's equality, it shouldn't contain "integral |sin(nÏ€x/l)|^2"; Right?

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##### Home Assignment 6 / Problem3
« on: November 07, 2012, 09:31:58 PM »
Solution is attached!

5
##### Misc Math / Fourier Transform
« on: November 05, 2012, 01:00:32 PM »
I was wondering (1/2 pi) in Fourier transform formula is an optional? (I mean, can we just ignore it?)

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##### Home Assignment 5 / Problem4
« on: October 31, 2012, 09:31:34 PM »
Part (a) solution is attached!

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##### Misc Math / TT1Problem6
« on: October 15, 2012, 01:33:57 PM »
In past term test 1, problem 6:

Write the solution of the diffusion equation on a half line 0<x<+âˆž,

I was wondering if we need to calculate integral on just 0<x<+âˆž interval and not whole interval.

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##### Home Assignment X / Problem2
« on: October 15, 2012, 01:34:28 AM »
Solution is attached,

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